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I don‘t get Stockfish‘s suggestion - can you help?

Hi all,

I was playing black and putting pressure on white‘s queen and rook (move No. 9). Stockfish analyzed it as a mistake and suggested me taking the knight (Kxf3+). Can someone explain the reasoning behind this suggestion? What am I missing?
Thank you!!!

[Event "Rated Rapid game"]
[Site "lichess.org/s4LKJkDO"]
[Date "2020.06.26"]
[Round "-"]
[White "Zmaj2020"]
[Black "Colonel97"]
[Result "0-1"]
[UTCDate "2020.06.26"]
[UTCTime "21:06:41"]
[WhiteElo "1047"]
[BlackElo "1089"]
[WhiteRatingDiff "-5"]
[BlackRatingDiff "+6"]
[Variant "Standard"]
[TimeControl "600+5"]
[ECO "C50"]
[Opening "Italian Game: Anti-Fried Liver Defense"]
[Termination "Normal"]
[Annotator "lichess.org"]

1. e4 e5 2. Nf3 Nc6 3. Bc4 h6 { C50 Italian Game: Anti-Fried Liver Defense } 4. Nc3 Bc5 5. O-O d6 6. d3 Nf6 7. Qe2 Bg4 8. b3?? { (-0.13 → -4.70) Blunder. Bb5 was best. } (8. Bb5 O-O 9. Bxc6 bxc6 10. h3 Bh5 11. Kh2 Nh7 12. Nd1 Rb8) 8... Nd4 9. Qe1? { (-4.11 → -10.94) Mistake. Qd1 was best. } (9. Qd1 Qd7) 9... Nxc2? { (-10.94 → -5.00) Mistake. Nxf3+ was best. } (9... Nxf3+) 10. Qd2 Nxa1 11. Bb5+?! { (-5.23 → -7.83) Inaccuracy. b4 was best. } (11. b4 Bxb4) 11... c6 12. Bc4 O-O 13. Re1 d5 14. exd5 cxd5 15. d4 Bxd4 16. Nxd4 dxc4 17. Ba3 Re8 18. Nf5 Bxf5 19. Rxa1 cxb3 20. axb3 Qxd2 21. h3 Qxc3 22. Rc1 Qxb3 23. Bd6 Qb2 24. Rc7?! { (-36.94 → Mate in 7) Checkmate is now unavoidable. Rf1 was best. } (24. Rf1 Bd3) 24... Qb1+ 25. Kh2 Rad8 26. Bc5 Nd5 27. g3 Nxc7 28. Bxa7 Qf1 29. Bb6 Rd2 30. Bxc7 Rxf2# { Black wins by checkmate. } 0-1

Your move was fine as it wins just as well.
The point of 9...Nxf3+ 10 gxf3 Bxf3 11 h3 Ng4 is that black gets a mating attack with 12...Qh4 and white must give up his queen to stop the checkmate.

As tpr said, yes, that is technically the best move. However, everything wins here, but another alternative would be Bxf3, because it's just a clean knight and it's easy to calculate. What stockfish is saying here is that your knight is such a powerful piece and is much more valuable in this position than the rook in the corner. It gave it up only because it leads to checkmate or winning the queen. Anyway, although those concepts are pretty important, I would not worry too much about this now. A win is a win.

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